2006688080 has 40 divisors (see below), whose sum is σ = 4676710344. Its totient is φ = 800755200.

The previous prime is 2006688049. The next prime is 2006688091. The reversal of 2006688080 is 808866002.

It can be written as a sum of positive squares in 4 ways, for example, as 13601344 + 1993086736 = 3688^2 + 44644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3890 + ... + 63470.

Almost surely, 2^2006688080 is an apocalyptic number.

2006688080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006688080 is an abundant number, since it is smaller than the sum of its proper divisors (2670022264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2006688080 is a wasteful number, since it uses less digits than its factorization.

2006688080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60015 (or 60009 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 2006688080 is about 44796.0721492409. The cubic root of 2006688080 is about 1261.3238961262.

The spelling of 2006688080 in words is "two billion, six million, six hundred eighty-eight thousand, eighty".